312414324 has 24 divisors (see below), whose sum is σ = 737751840. Its totient is φ = 102883104.

The previous prime is 312414317. The next prime is 312414331. The reversal of 312414324 is 423414213.

It is an interprime number because it is at equal distance from previous prime (312414317) and next prime (312414331).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 312414294 and 312414303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155839 + ... + 157830.

It is an arithmetic number, because the mean of its divisors is an integer number (30739660).

Almost surely, 2^312414324 is an apocalyptic number.

It is an amenable number.

312414324 is an abundant number, since it is smaller than the sum of its proper divisors (425337516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312414324 is a wasteful number, since it uses less digits than its factorization.

312414324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313759 (or 313757 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 312414324 is about 17675.2460803237. The cubic root of 312414324 is about 678.5423823620.

Adding to 312414324 its reverse (423414213), we get a palindrome (735828537).

The spelling of 312414324 in words is "three hundred twelve million, four hundred fourteen thousand, three hundred twenty-four".